What is the Least Common Multiple of 60140 and 60156?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 60140 and 60156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60140 and 60156, than apply into the LCM equation.

GCF(60140,60156) = 4
LCM(60140,60156) = ( 60140 × 60156) / 4
LCM(60140,60156) = 3617781840 / 4
LCM(60140,60156) = 904445460

Least Common Multiple (LCM) of 60140 and 60156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60140 and 60156. First we will calculate the prime factors of 60140 and 60156.

Prime Factorization of 60140

Prime Factorization of 60156

Now multiplying the highest exponent prime factors to calculate the LCM of 60140 and 60156.

LCM(60140,60156) = 2² × 5¹ × 31¹ × 97¹ × 3³ × 557¹
LCM(60140,60156) = 904445460